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Finding the Fourth Proportional to 4,233.10, 5,843.72 and 2,819.14

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Solution

The fourth proportional to 4,233.10, 5,843.72 and 2,819.14 is: 3,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.10 : 5,843.72 = 2,819.14 : x
  2. Step 2: Convert to fraction form
    4,233.10/5,843.72 = 2,819.14/x
  3. Step 3: Cross multiply
    4,233.10x = 5,843.72 × 2,819.14
  4. Step 4: Simplify right side
    4,233.10x = 16,474,264.80
  5. Step 5: Solve for x
    x = 16,474,264.80/4,233.10
  6. Step 6: Final answer
    x = 3,891.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.